Question
5 The bearing of \( X \) from \( Y \) is \( 274^{\circ} \). Calculate the bearing of \( Y \) from \( X \).
Ask by Johnston Bowman. in Pakistan
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The bearing of \( Y \) from \( X \) is \( 94^\circ \).
Solution
1. The bearing of \( X \) from \( Y \) is given as \( 274^\circ \). This means that if you stand at \( Y \) and look in the direction of \( 274^\circ \), you see \( X \).
2. To find the bearing of \( Y \) from \( X \), note that the two directions are opposite. We obtain the opposite bearing by adding or subtracting \( 180^\circ \).
3. Calculate the bearing of \( Y \) from \( X \):
\[
274^\circ - 180^\circ = 94^\circ
\]
4. Therefore, the bearing of \( Y \) from \( X \) is \( 94^\circ \).
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Simplify this solution The Deep Dive
To find the bearing of \( Y \) from \( X \), you need to add \( 180^{\circ} \) to the bearing of \( X \) from \( Y \) (which is \( 274^{\circ} \)) and then adjust it if necessary to fit within the standard \( 0^{\circ} \) to \( 360^{\circ} \) range. So you calculate: \[ 274^{\circ} + 180^{\circ} = 454^{\circ} \] Next, since \( 454^{\circ} \) exceeds \( 360^{\circ} \), you subtract \( 360^{\circ} \): \[ 454^{\circ} - 360^{\circ} = 94^{\circ} \] Therefore, the bearing of \( Y \) from \( X \) is \( 094^{\circ} \). Now you're all set to navigate the world like a pro! Keep a compass handy; adventure awaits!
